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Finding the Fourth Proportional to 20,291.64, 30,436.40 and 7,144.10

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Solution

The fourth proportional to 20,291.64, 30,436.40 and 7,144.10 is: 10,715.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.64 : 30,436.40 = 7,144.10 : x
  2. Step 2: Convert to fraction form
    20,291.64/30,436.40 = 7,144.10/x
  3. Step 3: Cross multiply
    20,291.64x = 30,436.40 × 7,144.10
  4. Step 4: Simplify right side
    20,291.64x = 217,440,685.24
  5. Step 5: Solve for x
    x = 217,440,685.24/20,291.64
  6. Step 6: Final answer
    x = 10,715.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.